A and B are n x n matrices. Check the true statements below: A. The determinant of A is the product of the diagonal entries in A. B. If det A is zero, then two rows or two columns are the same, or a row or a column is zero. OC. det AT = (-1) det A. OD. If two row interchanges are made in succession, then the determinant of the new matrix is equal to the determinant of the original matrix.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter11: Matrices And Determinants
Section11.CR: Chapter Review
Problem 11CC
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A and B are n × n matrices.
Check the true statements below:
A. The determinant of A is the product of the diagonal entries in A.
B. If det A is zero, then two rows or two columns are the same, or a row or a column is zero.
☐ c. det A¹ = (−1) det A.
D. If two row interchanges are made in succession, then the determinant of the new matrix is equal to the determinant of the original matrix.
Transcribed Image Text:A and B are n × n matrices. Check the true statements below: A. The determinant of A is the product of the diagonal entries in A. B. If det A is zero, then two rows or two columns are the same, or a row or a column is zero. ☐ c. det A¹ = (−1) det A. D. If two row interchanges are made in succession, then the determinant of the new matrix is equal to the determinant of the original matrix.
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